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Finding the Third Proportional to 55,474.88 and 121,307.63

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Solution

The third proportional to 55,474.88 and 121,307.63 is: 265,264.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,474.88 : 121,307.63 = 121,307.63 : x
  2. Step 2: Convert to fraction form
    55,474.88/121,307.63 = 121,307.63/x
  3. Step 3: Cross multiply
    55,474.88x = 121,307.63 × 121,307.63
  4. Step 4: Simplify right side
    55,474.88x = 14,715,539,883.14
  5. Step 5: Solve for x
    x = 14,715,539,883.14/55,474.88
  6. Step 6: Final answer
    x = 265,264.95

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.